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Prove that if a number is tripled , then it's cube is 27 times the cube of the given number

Find the sum of
$6x^2+12xy\text{and}9x^3-6yx.$

A gardener uses pipes to water his garden from the tank. For his entire garden he uses 6 pipes to water and it takes him 1 hour 20 minutes to completely empty the tank. Now if he uses only 5 pipes to water his garden, how long it will take him to empty the tank?

Question 4 (ix)
Find the square roots of the following numbers by the Prime Factorization method:
529

Question 8 (ii)
Express 121 as the sum of 11 odd numbers.

A rhombus with side 5 cm will have

In each polynomial, given below,separate the like terms :

$\left(i\right)3xy,-4y{x}^2,2x{y}^2,2.5x^{2}y,-8yx,-3.2y^{2}xand{x}^{2}y\left(ii\right)y^2{z}^3,x{y}^2{z}^3,-5x^{2}yz,-4y^2{z}^3,-8x{z}^3{y}^2,3x^{2}yzand2z^3{y}^2$

Match the number of boxes in pictures with proper indices.

Take a two digit number let it be 72 years it it becomes 27 by subtracting the 72 and the reversing the digit the difference is 45 which is divisible by 9 as explained in the videos of byju's of class 8 of playing with numbers but if it is divisible by 9 it will also divisible by 3 in your question its option of 9 and 3 more to you you should also you the option both of the above

Factorise:
$27a^3{b}^3-45a^4{b}^2$

A sum of money doubles itself in $3$ years at CI, when the interest is compounded annually. In how many years will the sum amount to $16$ times of itself?

Rita wrote a three digit number on the white board and then subtracted the sum of its digits from the number itself. Two of the digits of the resulting number are 3 and 4. What is the remaining third digit of resulting number?

Name the following solid:

A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times?

Here AB $\parallel$ CD. If the altitude of $△$ACD is 6 cm and CD is 8 cm then the area of $△$BCD is _____.

A dance floor has to be built as a triangular glass platform with the dimensions $\text{7 m, 8 m and 9 m}$. The total surface area of the glass required to build such a platform is equal to ________ $m^2$.

Mode of transport of 1700 students of NIT Warangal is shown in the graph below.

Which of the following options are correct?

A cylinder is formed by rolling a rectangular sheet along its length as shown below. What is the radius of the cylinder?

A cuboidal reservoir of base $80m\times 60m$ is $6.5m$ deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side $20cm,$ if water runs through the pipe at the rate of $15km/hr?$

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

What is the units digit of the cube root of 29791?

Question 20

Area of a quadrilateral ABCD is $20c{m}^2$ and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is
(a) 4 cm (b) 15 cm (c) 16 cm (d) 18 cm

Find the volume, curved surface area and total surface area of each of the cylinders whose dimensions are:

(i) radius of the base = 7 cm and height = 50 cm

(ii) radius of the base = 5.6 m and height = 1.25 m

(iii) radius of the base = 14 dm and height = 15 m

Solve :

9x + 5 = 4 (x - 2) + 8

Find the square root of each of the following by prime factorization.
(i) 441 (ii) 196
(iii) 529 (iv) 1764
(v) 1156 (vi) 4096
(vii) 7056 (viii) 8281
(ix) 11664 (x) 47089
(xi) 24336 (xii) 190696
(xiii) 586756 (xiv) 27225
(xv)3013696

Factorise:
$x^2-5x-24$

Question 55

State whether the following statement is true or false:

The square of 2.8 is 78.4.

Compute the value of ${10}^2+{18}^2$

Find, which of the following sets are empty:

(i)The set of points of intersection of two parallel lines.

(ii) $A=\{x:x\in Nand5<x\le 6\}$

(iii) $B=\{x:x^2+4=0,x\in N\}$

(iv)$C=\left\{evennumbersbetween6\&10\right\}$

(v) $D=\left\{primenumbersbetween7\&11\right\}$

Note : The set, which has no element in it, is called the empty or null set.

There are 800 students in a school, out of which 560 are girls. The percentage of boys students in the school is ______

Question 54

The class size of the interval 80 - 85 is ___,

If a²+b²+c²=250 and ab +bc+ca =3 then find the value of a+b+c

If the cost price of 18 chairs be equal to selling price of 16 chairs, find the gain or loss percent.

What is the value of $\sqrt[3]{363.8+\sqrt[3]{30.008}}$

one fruit salad recipe requires 1/2 cup of sugar. another recipe for the same fruit salad requires 2 tablespoons of sugar. if 1 tablespoon is equivalent to 1/ 16 Cup how much more sugar does the first recipes require?

Factorise :

$4x(3x-2y)-2y(3x-2y)$

Given A = $\{x:x\in Nand3<x\le 6\}$ and B =$\{x:x\in Wandx<4\}$. Find : (i) Sets A and B in roster form (ii) $A\cup B$ (iii) $A\cap B$ (iv) A - B (v) B - A

The following pie-chart represents the marks scored by a student. If he scored 440 as total marks, then in which subject did the student score 86 marks?

Area of a quadrilateral ABCD is $20c{m}^2$ and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is

Find the L.C.M. of $6x^2-x-1,3x^2+7x+2and2x^2+3x-2$

What is the minimum number of parameters needed to construct a square?

The area of following image is:

There is a thin metal plate of length and breadth 2M mm and 2K mm respectively. Its thickness is 1mm. ‘N’ number of plates are placed one on top of the other? What is the object formed and what is its volume in ${mm}^3$ ?

Question 92 (iv)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$3a^2{b}^3-27a^{4}b$